Middle School Math
Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8
Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8
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Middle School Math
Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8
Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8
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k a 2024 AMC 10/12B Math Jam!
LauraZed 0
Wednesday at 5:10 PM
Want to discuss the AMC 10/12B with AoPS instructors? Join us for the 2024 AMC 10B/12B Math Jam tonight, November 13, at at 7:30pm ET / 4:30pm PT, where we will discuss some of the most interesting problems from each test!
You can learn how to attend Math Jams here:
https://artofproblemsolving.com/school/mathjams
Finally, the Contests & Programs forum has also reopened for discussion of these exams, and you can find the official discussion threads here:
https://artofproblemsolving.com/community/c5h3442595_2024_amc_10b_discussion_thread
https://artofproblemsolving.com/community/c5h3442596_2024_amc_12b_discussion_thread
You can learn how to attend Math Jams here:
https://artofproblemsolving.com/school/mathjams
Finally, the Contests & Programs forum has also reopened for discussion of these exams, and you can find the official discussion threads here:
https://artofproblemsolving.com/community/c5h3442595_2024_amc_10b_discussion_thread
https://artofproblemsolving.com/community/c5h3442596_2024_amc_12b_discussion_thread
0 replies
k a AMC 10/12 A&B Coming up Soon!
jlacosta 0
Nov 1, 2024
There is still time to train for the November 6th and November 12th AMC 10A/12A and AMC 10B/12B, respectively! Enroll in our weekend seminars to be held on November 2nd and 3rd (listed below) and you will learn problem strategies, test taking techniques, and be able to take a full practice test! Note that the “B” seminars will have different material from the “A” seminars which were held in October.
[list][*]Special AMC 10 Problem Seminar B
[*]Special AMC 12 Problem Seminar B[/list]
For those who want to take a free practice test before the AMC 10/12 competitions, you can simulate a real competition experience by following this link. As you assess your performance on these exams, be sure to gather data!
[list][*]Which problems did you get right?
[list][*]Was the topic a strength (e.g. number theory, geometry, counting/probability, algebra)?
[*]How did you prepare?
[*]What was your confidence level?[/list]
[*]Which problems did you get wrong?
[list][list][*]Did you make an arithmetic error?
[*]Did you misread the problem?
[*]Did you have the foundational knowledge for the problem?
[*]Which topics require more fluency through practice (e.g. number theory, geometry, counting/probability, algebra)?
[*]Did you run out of time?[/list][/list]
Once you have analyzed the results with the above questions, you will have a plan of attack for future contests! BEST OF LUCK to all competitors at this year’s AMC 10 and AMC 12!
Did you know that the day after both the AMC 10A/12A and AMC 10B/12B you can join a free math jam where our AoPS team will go over the most interesting problems? Find the schedule below under “Mark your calendars”.
Mark your calendars for these upcoming free math jams!
[list][*]November 20th: Amherst College Info Session, 7:30 pm ET: Matt McGann, Dean of Admission and Financial Aid at Amherst College, and Nathan Pflueger, math professor at Amherst College, will host an info session exploring both Amherst College specifically and liberal arts colleges generally. Topics include opportunities in math, the admission process, and financial aid for both US and international students.
[*]November 7th: 2024 AMC 10/12 A Discussion, Thursday, 7:30 pm ET:
[*]AoPS instructors will discuss problems from the AMC 10/12 A, administered November 6. We will discuss some of the most interesting problems from each test!
[*]November 13th: 2024 AMC 10/12 B Discussion, Wednesday, 7:30 pm ET:
[*]AoPS instructors will discuss problems from the AMC 10/12 B, administered November 12. We will discuss some of the most interesting problems from each test![/list]
AoPS Spring classes are open for enrollment. Get a jump on the New Year and enroll in our math, contest prep, coding, and science classes today! Need help finding the right plan for your goals? Check out our recommendations page!
Don’t forget: Highlight your AoPS Education on LinkedIn!
Many of you are beginning to build your education and achievements history on LinkedIn. Now, you can showcase your courses from Art of Problem Solving (AoPS) directly on your LinkedIn profile!
Whether you've taken our classes at AoPS Online or AoPS Academies or reached the top echelons of our competition training with our Worldwide Online Olympiad Training (WOOT) program, you can now add your AoPS experience to the education section on your LinkedIn profile.
Don't miss this opportunity to stand out and connect with fellow problem-solvers in the professional world and be sure to follow us at: https://www.linkedin.com/school/art-of-problem-solving/mycompany/ Check out our job postings, too, if you are interested in either full-time, part-time, or internship opportunities!
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.
Introductory: Grades 5-10
Prealgebra 1
Sunday, Nov 3 - Mar 9
Tuesday, Nov 5 - Mar 11
Friday, Dec 6 - Apr 4
Sunday, Jan 5 - Apr 20
Wednesday, Jan 15 - Apr 30
Monday, Feb 3 - May 19
Sunday, Mar 2 - Jun 22
Friday, Mar 28 - Jul 18
Sunday, Apr 13 - Aug 10
Prealgebra 1 Self-Paced
Prealgebra 2
Thursday, Nov 7 - Mar 13
Monday, Dec 2 - Mar 31
Wednesday, Jan 8 - Apr 23
Sunday, Jan 19 - May 4 (1:00 - 2:15 pm ET/10:00 - 11:15 am PT)
Monday, Jan 27 - May 12
Tuesday, Jan 28 - May 13 (4:30 - 5:45 pm ET/1:30 - 2:45 pm PT)
Sunday, Feb 16 - Jun 8
Tuesday, Mar 25 - Jul 8
Sunday, Apr 13 - Aug 10
Prealgebra 2 Self-Paced
Introduction to Algebra A
Friday, Nov 8 - Mar 14
Wednesday, Dec 11 - Apr 9
Tuesday, Jan 7 - Apr 22
Wednesday, Jan 29 - May 14
Sunday, Feb 16 - Jun 8 (3:30 - 5:00 pm ET/12:30 - 2:00 pm PT)
Sunday, Mar 23 - Jul 20
Monday, Apr 7 - Jul 28
Introduction to Algebra A Self-Paced
Introduction to Counting & Probability
Thursday, Dec 5 - Mar 6
Wednesday, Jan 8 - Mar 26
Thursday, Jan 30 - Apr 17
Sunday, Feb 9 - Apr 27 (3:30 - 5:00 pm ET/12:30 - 2:00 pm PT)
Sunday, Mar 16 - Jun 8
Wednesday, Apr 16 - Jul 2
Introduction to Counting & Probability Self-Paced
Introduction to Number Theory
Monday, Dec 2 - Mar 3
Tuesday, Jan 28 - Apr 15
Sunday, Feb 16 - May 4
Monday, Mar 17 - Jun 9
Thursday, Apr 17 - Jul 3
Introduction to Algebra B
Wednesday, Dec 11 - Apr 9
Tuesday, Jan 28 - May 13
Thursday, Feb 13 - May 29
Sunday, Mar 2 - Jun 22
Monday, Mar 17 - Jul 7
Wednesday, Apr 16 - Jul 30
Introduction to Geometry
Monday, Nov 11 - May 12
Wednesday, Nov 13 - May 14 (9:30 - 11:00 pm ET/6:30 - 8:00 pm PT)
Tuesday, Dec 10 - Jun 3
Wednesday, Jan 8 - Jun 18
Thursday, Jan 30 - Jul 10
Friday, Feb 14 - Aug 1
Tuesday, Mar 4 - Aug 12
Sunday, Mar 23 - Sep 21
Wednesday, Apr 23 - Oct 1
Paradoxes and Infinity
Sat & Sun, Nov 16 - Nov 17 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
Intermediate: Grades 8-12
Intermediate Algebra
Sunday, Nov 10 - May 11
Tuesday, Dec 3 - May 27
Friday, Jan 17 - Jun 27
Wednesday, Feb 12 - Jul 23
Sunday, Mar 16 - Sep 14
Tuesday, Mar 25 - Sep 2
Monday, Apr 21 - Oct 13
Intermediate Counting & Probability
Thursday, Nov 7 - Mar 27
Monday, Feb 10 - Jun 16
Sunday, Mar 23 - Aug 3
Intermediate Number Theory
Thursday, Feb 20 - May 8
Friday, Apr 11 - Jun 27
Precalculus
Sunday, Nov 10 - Apr 27
Tuesday, Dec 10 - May 20
Wednesday, Jan 8 - Jun 4
Tuesday, Feb 25 - Jul 22
Sunday, Mar 16 - Aug 24
Wednesday, Apr 9 - Sep 3
Advanced: Grades 9-12
Olympiad Geometry
Wednesday, Mar 5 - May 21
Calculus
Tuesday, Dec 10 - Jun 10
Friday, Feb 28 - Aug 22
Sunday, Mar 30 - Oct 5
Contest Preparation: Grades 6-12
MATHCOUNTS/AMC 8 Basics
Mon, Wed & Fri, Dec 2 - Jan 10 (meets three times each week!)
Tuesday, Feb 4 - Apr 22
Sunday, Mar 23 - Jun 15
Wednesday, Apr 16 - Jul 2
MATHCOUNTS/AMC 8 Advanced
Tuesday, Nov 5 - Feb 11
Mon, Wed & Fri, Dec 2 - Jan 10 (meets three times each week!)
Tue, Thurs & Sun, Dec 10 - Jan 19 (meets three times each week!)
Sunday, Feb 16 - May 4
Friday, Apr 11 - Jun 27
Special AMC 8 Problem Seminar A
Sat & Sun, Jan 11 - Jan 12 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
Special AMC 8 Problem Seminar B
Sat & Sun, Jan 18 - Jan 19 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
AMC 10 Problem Series
Sunday, Feb 9 - Apr 27
Tuesday, Mar 4 - May 20
Monday, Mar 31 - Jun 23
AMC 10 Final Fives
Sunday, Feb 9 - Mar 2 (3:30 - 5:00 pm ET/12:30 - 2:00 pm PT)
Special AMC 10 Problem Seminar B
Sat & Sun, Nov 2 - Nov 3 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
AMC 12 Problem Series
Sunday, Feb 23 - May 11
AMC 12 Final Fives
Sunday, Feb 9 - Mar 2 (3:30 - 5:00 pm ET/12:30 - 2:00 pm PT)
Special AMC 12 Problem Seminar B
Sat & Sun, Nov 2 - Nov 3 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
AIME Problem Series A
Tue, Thurs & Sun, Jan 7 - Feb (meets three times each week!)
AIME Problem Series B
Mon, Wed & Fri, Jan 6 - Jan 31 (meets three times each week!)
Special AIME Problem Seminar A
Sat & Sun, Jan 25 - Jan 26 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
Special AIME Problem Seminar B
Sat & Sun, Feb 1 - Feb 2 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
F=ma Problem Series
Wednesday, Feb 19 - May 7
Programming
Introduction to Programming with Python
Monday, Dec 2 - Mar 3
Friday, Jan 17 - Apr 4
Sunday, Feb 16 - May 4
Monday, Mar 24 - Jun 16
Intermediate Programming with Python
Tuesday, Feb 25 - May 13
Science
Introduction to Physics
Tuesday, Dec 10 - Mar 11
Friday, Feb 7 - Apr 25
Sunday, Mar 30 - Jun 22
Physics 1: Mechanics
Sunday, Feb 9 - Aug 3
Tuesday, Mar 25 - Sep 2
Relativity
Sat & Sun, Dec 14 - Dec 15 (4:00 - 7:00 pm ET/1:00 - 4:00pm PT)
[list][*]Special AMC 10 Problem Seminar B
[*]Special AMC 12 Problem Seminar B[/list]
For those who want to take a free practice test before the AMC 10/12 competitions, you can simulate a real competition experience by following this link. As you assess your performance on these exams, be sure to gather data!
[list][*]Which problems did you get right?
[list][*]Was the topic a strength (e.g. number theory, geometry, counting/probability, algebra)?
[*]How did you prepare?
[*]What was your confidence level?[/list]
[*]Which problems did you get wrong?
[list][list][*]Did you make an arithmetic error?
[*]Did you misread the problem?
[*]Did you have the foundational knowledge for the problem?
[*]Which topics require more fluency through practice (e.g. number theory, geometry, counting/probability, algebra)?
[*]Did you run out of time?[/list][/list]
Once you have analyzed the results with the above questions, you will have a plan of attack for future contests! BEST OF LUCK to all competitors at this year’s AMC 10 and AMC 12!
Did you know that the day after both the AMC 10A/12A and AMC 10B/12B you can join a free math jam where our AoPS team will go over the most interesting problems? Find the schedule below under “Mark your calendars”.
Mark your calendars for these upcoming free math jams!
[list][*]November 20th: Amherst College Info Session, 7:30 pm ET: Matt McGann, Dean of Admission and Financial Aid at Amherst College, and Nathan Pflueger, math professor at Amherst College, will host an info session exploring both Amherst College specifically and liberal arts colleges generally. Topics include opportunities in math, the admission process, and financial aid for both US and international students.
[*]November 7th: 2024 AMC 10/12 A Discussion, Thursday, 7:30 pm ET:
[*]AoPS instructors will discuss problems from the AMC 10/12 A, administered November 6. We will discuss some of the most interesting problems from each test!
[*]November 13th: 2024 AMC 10/12 B Discussion, Wednesday, 7:30 pm ET:
[*]AoPS instructors will discuss problems from the AMC 10/12 B, administered November 12. We will discuss some of the most interesting problems from each test![/list]
AoPS Spring classes are open for enrollment. Get a jump on the New Year and enroll in our math, contest prep, coding, and science classes today! Need help finding the right plan for your goals? Check out our recommendations page!
Don’t forget: Highlight your AoPS Education on LinkedIn!
Many of you are beginning to build your education and achievements history on LinkedIn. Now, you can showcase your courses from Art of Problem Solving (AoPS) directly on your LinkedIn profile!
Whether you've taken our classes at AoPS Online or AoPS Academies or reached the top echelons of our competition training with our Worldwide Online Olympiad Training (WOOT) program, you can now add your AoPS experience to the education section on your LinkedIn profile.
Don't miss this opportunity to stand out and connect with fellow problem-solvers in the professional world and be sure to follow us at: https://www.linkedin.com/school/art-of-problem-solving/mycompany/ Check out our job postings, too, if you are interested in either full-time, part-time, or internship opportunities!
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.
Introductory: Grades 5-10
Prealgebra 1
Sunday, Nov 3 - Mar 9
Tuesday, Nov 5 - Mar 11
Friday, Dec 6 - Apr 4
Sunday, Jan 5 - Apr 20
Wednesday, Jan 15 - Apr 30
Monday, Feb 3 - May 19
Sunday, Mar 2 - Jun 22
Friday, Mar 28 - Jul 18
Sunday, Apr 13 - Aug 10
Prealgebra 1 Self-Paced
Prealgebra 2
Thursday, Nov 7 - Mar 13
Monday, Dec 2 - Mar 31
Wednesday, Jan 8 - Apr 23
Sunday, Jan 19 - May 4 (1:00 - 2:15 pm ET/10:00 - 11:15 am PT)
Monday, Jan 27 - May 12
Tuesday, Jan 28 - May 13 (4:30 - 5:45 pm ET/1:30 - 2:45 pm PT)
Sunday, Feb 16 - Jun 8
Tuesday, Mar 25 - Jul 8
Sunday, Apr 13 - Aug 10
Prealgebra 2 Self-Paced
Introduction to Algebra A
Friday, Nov 8 - Mar 14
Wednesday, Dec 11 - Apr 9
Tuesday, Jan 7 - Apr 22
Wednesday, Jan 29 - May 14
Sunday, Feb 16 - Jun 8 (3:30 - 5:00 pm ET/12:30 - 2:00 pm PT)
Sunday, Mar 23 - Jul 20
Monday, Apr 7 - Jul 28
Introduction to Algebra A Self-Paced
Introduction to Counting & Probability
Thursday, Dec 5 - Mar 6
Wednesday, Jan 8 - Mar 26
Thursday, Jan 30 - Apr 17
Sunday, Feb 9 - Apr 27 (3:30 - 5:00 pm ET/12:30 - 2:00 pm PT)
Sunday, Mar 16 - Jun 8
Wednesday, Apr 16 - Jul 2
Introduction to Counting & Probability Self-Paced
Introduction to Number Theory
Monday, Dec 2 - Mar 3
Tuesday, Jan 28 - Apr 15
Sunday, Feb 16 - May 4
Monday, Mar 17 - Jun 9
Thursday, Apr 17 - Jul 3
Introduction to Algebra B
Wednesday, Dec 11 - Apr 9
Tuesday, Jan 28 - May 13
Thursday, Feb 13 - May 29
Sunday, Mar 2 - Jun 22
Monday, Mar 17 - Jul 7
Wednesday, Apr 16 - Jul 30
Introduction to Geometry
Monday, Nov 11 - May 12
Wednesday, Nov 13 - May 14 (9:30 - 11:00 pm ET/6:30 - 8:00 pm PT)
Tuesday, Dec 10 - Jun 3
Wednesday, Jan 8 - Jun 18
Thursday, Jan 30 - Jul 10
Friday, Feb 14 - Aug 1
Tuesday, Mar 4 - Aug 12
Sunday, Mar 23 - Sep 21
Wednesday, Apr 23 - Oct 1
Paradoxes and Infinity
Sat & Sun, Nov 16 - Nov 17 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
Intermediate: Grades 8-12
Intermediate Algebra
Sunday, Nov 10 - May 11
Tuesday, Dec 3 - May 27
Friday, Jan 17 - Jun 27
Wednesday, Feb 12 - Jul 23
Sunday, Mar 16 - Sep 14
Tuesday, Mar 25 - Sep 2
Monday, Apr 21 - Oct 13
Intermediate Counting & Probability
Thursday, Nov 7 - Mar 27
Monday, Feb 10 - Jun 16
Sunday, Mar 23 - Aug 3
Intermediate Number Theory
Thursday, Feb 20 - May 8
Friday, Apr 11 - Jun 27
Precalculus
Sunday, Nov 10 - Apr 27
Tuesday, Dec 10 - May 20
Wednesday, Jan 8 - Jun 4
Tuesday, Feb 25 - Jul 22
Sunday, Mar 16 - Aug 24
Wednesday, Apr 9 - Sep 3
Advanced: Grades 9-12
Olympiad Geometry
Wednesday, Mar 5 - May 21
Calculus
Tuesday, Dec 10 - Jun 10
Friday, Feb 28 - Aug 22
Sunday, Mar 30 - Oct 5
Contest Preparation: Grades 6-12
MATHCOUNTS/AMC 8 Basics
Mon, Wed & Fri, Dec 2 - Jan 10 (meets three times each week!)
Tuesday, Feb 4 - Apr 22
Sunday, Mar 23 - Jun 15
Wednesday, Apr 16 - Jul 2
MATHCOUNTS/AMC 8 Advanced
Tuesday, Nov 5 - Feb 11
Mon, Wed & Fri, Dec 2 - Jan 10 (meets three times each week!)
Tue, Thurs & Sun, Dec 10 - Jan 19 (meets three times each week!)
Sunday, Feb 16 - May 4
Friday, Apr 11 - Jun 27
Special AMC 8 Problem Seminar A
Sat & Sun, Jan 11 - Jan 12 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
Special AMC 8 Problem Seminar B
Sat & Sun, Jan 18 - Jan 19 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
AMC 10 Problem Series
Sunday, Feb 9 - Apr 27
Tuesday, Mar 4 - May 20
Monday, Mar 31 - Jun 23
AMC 10 Final Fives
Sunday, Feb 9 - Mar 2 (3:30 - 5:00 pm ET/12:30 - 2:00 pm PT)
Special AMC 10 Problem Seminar B
Sat & Sun, Nov 2 - Nov 3 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
AMC 12 Problem Series
Sunday, Feb 23 - May 11
AMC 12 Final Fives
Sunday, Feb 9 - Mar 2 (3:30 - 5:00 pm ET/12:30 - 2:00 pm PT)
Special AMC 12 Problem Seminar B
Sat & Sun, Nov 2 - Nov 3 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
AIME Problem Series A
Tue, Thurs & Sun, Jan 7 - Feb (meets three times each week!)
AIME Problem Series B
Mon, Wed & Fri, Jan 6 - Jan 31 (meets three times each week!)
Special AIME Problem Seminar A
Sat & Sun, Jan 25 - Jan 26 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
Special AIME Problem Seminar B
Sat & Sun, Feb 1 - Feb 2 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)
F=ma Problem Series
Wednesday, Feb 19 - May 7
Programming
Introduction to Programming with Python
Monday, Dec 2 - Mar 3
Friday, Jan 17 - Apr 4
Sunday, Feb 16 - May 4
Monday, Mar 24 - Jun 16
Intermediate Programming with Python
Tuesday, Feb 25 - May 13
Science
Introduction to Physics
Tuesday, Dec 10 - Mar 11
Friday, Feb 7 - Apr 25
Sunday, Mar 30 - Jun 22
Physics 1: Mechanics
Sunday, Feb 9 - Aug 3
Tuesday, Mar 25 - Sep 2
Relativity
Sat & Sun, Dec 14 - Dec 15 (4:00 - 7:00 pm ET/1:00 - 4:00pm PT)
0 replies
FTW tournament
booking 3
N
an hour ago
by SpeedCuber7
Hello! I have created a forum where we will host FTW tournaments. Please come and check out this link. Thank you!
3 replies
Number Sense Marathon (Mental Math)
brainpopper 535
N
2 hours ago
by MC_ADe
Number Sense Marathon
Hi, there isn't a number sense marathon that I know of so i'll just make one.
READ THESE RULES:
1. All calculations must be done in the head. No calculators, no paper, no writing.
2. Make problems doable. If you deem a problem too hard, skip it.
3. Please don't fight over a solution or something ridiculous.
4. Use hide tags for your problems and solutions.
5. Make all problems actually number sense. You can find a practice test for number sense here (thanks davidaops)
Don't know how to solve half the problems? Learn some tricks for mental math here.
Please make sure to follow the following format:
To post and hide your solutions, use the S# P# format. It looks like this:
[quote=User1]
S5
P6
[/quote]
[quote=User2]
S6
P7
[/quote]
To use hide tags, simply do
[code]P5
P5
If you'd like to make your problems and solutions fancy, you can use LaTeX.
Lastly, please don't post if you don't know what you're doing.
Hi, there isn't a number sense marathon that I know of so i'll just make one.
READ THESE RULES:
1. All calculations must be done in the head. No calculators, no paper, no writing.
2. Make problems doable. If you deem a problem too hard, skip it.
3. Please don't fight over a solution or something ridiculous.
4. Use hide tags for your problems and solutions.
5. Make all problems actually number sense. You can find a practice test for number sense here (thanks davidaops)
Don't know how to solve half the problems? Learn some tricks for mental math here.
Please make sure to follow the following format:
To post and hide your solutions, use the S# P# format. It looks like this:
[quote=User1]
S5
(this is the solution to the previously posted problem.)
P6
What is ?
[/quote]
[quote=User2]
S6
(this is the solution to the previously posted problem.)
P7
What is ?
[/quote]
To use hide tags, simply do
[code]P5
100
[/code]to getP5
100
.If you'd like to make your problems and solutions fancy, you can use LaTeX.
Lastly, please don't post if you don't know what you're doing.
535 replies
Questions about dividing by 0
Arr0w 28
N
3 hours ago
by b2025tyx
I have a couple of questions all of which have to do with dividing by 0. Thanks in advance.
1
2
3
4
5
1
is considered undefined, but . How is this possible if its reciprocal is undefined?
2
Would be considered a rational number? Or would it be in a class of its own?
3
I think this statement would be true: . How is this possible if is undefined? Would this make it a rational number then, given the fact that any number over itself is equivalent to ? I put in my calculator, and it just reads an error, but wouldn't it be 1?
4
What exactly does "undefined" mean numerically?
5
Originally, complex numbers emerged because the square root of a negative number is impossible, and complex numbers give a proper explanation. Why haven't they done this with dividing by 0? Has this already been done?
28 replies
FTW and AMC Prep Forum
PatTheKing806 252
N
6 hours ago
by Aopsauser9999
We (PatTheKing806 and Sadas123) have created a private forum for people to do math with friends. I believe this is the funniest and the most joyful way of doing math problems. There are currencies to motivate people to get #1 on the leaderboard.
This is similar to the 'AMC 8 Prep Buddies' Forum, but if anybody wants to join, just type, /join and one of us will add you. This is also a FTW Forum if you are curious too!
Here is the link to our forum. See you there!
There are some users who have already been added, Users that have been added
This is similar to the 'AMC 8 Prep Buddies' Forum, but if anybody wants to join, just type, /join and one of us will add you. This is also a FTW Forum if you are curious too!
Here is the link to our forum. See you there!
There are some users who have already been added, Users that have been added
IMAGE
252 replies
No more topics!